Relative Chebyshev Centers in Normed Linear Spaces. Part II

Let E be a normed linear space, A a bounded set in E, and G in an arbitrary set in E. The relative Chebyshev center of A in G is the set of points in G best approximating A. We have obtained elsewhere general results characterizing the spaces in which the center reduces to a singleton in terms of st...

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Bibliographic Details
Main Authors: Amir,Dan, Ziegler,Zvi
Format: Report
Language:English
Subjects:
APPROXIMATION(MATHEMATICS)
CHEBYSHEV APPROXIMATIONS
Chebyshev centers
COEFFICIENTS
CONVEX SETS
EXPONENTIAL FUNCTIONS
Extended unisolvence
RANDOM VARIABLES
THEOREMS
Theoretical Mathematics
VECTOR SPACES
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Summary:Let E be a normed linear space, A a bounded set in E, and G in an arbitrary set in E. The relative Chebyshev center of A in G is the set of points in G best approximating A. We have obtained elsewhere general results characterizing the spaces in which the center reduces to a singleton in terms of structural properties related to uniform and strict convexity. In this paper an analysis of the Chebyshev norm case, which falls outside the scope of the previous analysis, is presented. (Author)